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題名 Multistability for Delayed Neural Networks via Sequential Contracting
作者 曾睿彬
Tseng, Jui-Pin
Cheng, Chang-Yuan
Lin, Kuang-Hui
Shih, Chih-Wen
貢獻者 應數系
日期 2015-12
上傳時間 25-Jan-2016 11:12:56 (UTC+8)
摘要 In this paper, we explore a variety of new multistability scenarios in the general delayed neural network system. Geometric structure embedded in equations is exploited and incorporated into the analysis to elucidate the underlying dynamics. Criteria derived from different geometric configurations lead to disparate numbers of equilibria. A new approach named sequential contracting is applied to conclude the global convergence to multiple equilibrium points of the system. The formulation accommodates both smooth sigmoidal and piecewiselinear activation functions. Several numerical examples illustrate the present analytic theory.
關聯 IEEE Transactions on Neural Networks and Learning Systems, Vol.26, No.12, pp.3109 - 3122
資料類型 article
DOI http://dx.doi.org/10.1109/TNNLS.2015.2404801
dc.contributor 應數系-
dc.creator (作者) 曾睿彬zh_TW
dc.creator (作者) Tseng, Jui-Pin-
dc.creator (作者) Cheng, Chang-Yuanen_US
dc.creator (作者) Lin, Kuang-Huien_US
dc.creator (作者) Shih, Chih-Wenen_US
dc.date (日期) 2015-12-
dc.date.accessioned 25-Jan-2016 11:12:56 (UTC+8)-
dc.date.available 25-Jan-2016 11:12:56 (UTC+8)-
dc.date.issued (上傳時間) 25-Jan-2016 11:12:56 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/80760-
dc.description.abstract (摘要) In this paper, we explore a variety of new multistability scenarios in the general delayed neural network system. Geometric structure embedded in equations is exploited and incorporated into the analysis to elucidate the underlying dynamics. Criteria derived from different geometric configurations lead to disparate numbers of equilibria. A new approach named sequential contracting is applied to conclude the global convergence to multiple equilibrium points of the system. The formulation accommodates both smooth sigmoidal and piecewiselinear activation functions. Several numerical examples illustrate the present analytic theory.-
dc.format.extent 2025387 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) IEEE Transactions on Neural Networks and Learning Systems, Vol.26, No.12, pp.3109 - 3122-
dc.title (題名) Multistability for Delayed Neural Networks via Sequential Contracting-
dc.type (資料類型) article-
dc.identifier.doi (DOI) 10.1109/TNNLS.2015.2404801-
dc.doi.uri (DOI) http://dx.doi.org/10.1109/TNNLS.2015.2404801-